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Additional resources for Cheaper, Better, Faster: Over 2,000 Tips and Tricks to Save You Time and Money Every Day
References and Further Reading Artzner, P, Delbaen, F, Eber, J-M & Heath, D 1997 Thinking coherently. Risk magazine 10 (11) 68–72 46 Frequently Asked Questions in Quantitative Finance What is Extreme Value Theory? Short answer Extreme Value Theory (EVT) is the mathematics behind extreme events. Some important results have analogies with the Central Limit Theorem, but instead of being about averages they are about extremes. Of course, whether one should even be talking about probabilities when talking about crashes is another matter.
References and Further Reading Haug, EG 2007 Derivatives: Models on Models, John Wiley & Sons, Ltd. Mandelbrot, B & Hudson, R 2004 The (Mis)Behaviour of Markets: A Fractal View of Risk, Ruin and Reward. Proﬁle Books Chapter 2 FAQs 22 Frequently Asked Questions in Quantitative Finance What are the Different Types of Mathematics Found in Quantitative Finance? Short answer The ﬁelds of mathematics most used in quantitative ﬁnance are those of probability theory and differential equations. And, of course, numerical methods are usually needed for producing numbers.
As long as none of the random variables has too much more impact on the average than the others then it still works. You are even allowed to have some weak dependence between the variables. A generalization that is important in ﬁnance applies to distributions with inﬁnite variance. If the tails of the individual distributions have a power-law decay, |x|−1−α with 0 < α < 2, then the average will tend to a stable L´evy distribution. Chapter 2: FAQs 37 If you add random numbers and get normal, what happens when you multiply them?